List the possible rational zeros. \[ n(x)=25 x^{5}+8 x^{3}-2 x^{2}+10 \] If there is more than one answer, separate them with commas. Select "None" if applicable. The possible rational zeros of \( n(x): \square \)
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Beyond the Answer
The possible rational zeros of the polynomial \( n(x) = 25x^5 + 8x^3 - 2x^2 + 10 \) can be determined using the Rational Root Theorem. The factors of the constant term (10) are ±1, ±2, ±5, ±10, and the factors of the leading coefficient (25) are ±1, ±5, ±25. To find the possible rational zeros, we take the factors of the constant term and divide them by the factors of the leading coefficient, resulting in the possibilities: ±1, ±2, ±5, ±10, ±1/5, ±2/5, ±1/25, ±2/25, ±5/25 (which simplifies to ±1/5 and ±2/5), and ±10/25 (which simplifies to ±2/5). So, the complete list of possible rational zeros is: ±1, ±2, ±5, ±10, ±1/5, ±2/5, ±1/25, ±2/25.
preguntas relacionadas
